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Finding the Third Proportional to 19,215.50 and 24,552.75

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Solution

The third proportional to 19,215.50 and 24,552.75 is: 31,372.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,215.50 : 24,552.75 = 24,552.75 : x
  2. Step 2: Convert to fraction form
    19,215.50/24,552.75 = 24,552.75/x
  3. Step 3: Cross multiply
    19,215.50x = 24,552.75 × 24,552.75
  4. Step 4: Simplify right side
    19,215.50x = 602,837,532.56
  5. Step 5: Solve for x
    x = 602,837,532.56/19,215.50
  6. Step 6: Final answer
    x = 31,372.46

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.